This question seems fairly logical if you think about it as the two functions must intersect. How would you go about proving it?

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- April 28th 2010, 02:13 AMacevipaContinuous Functions
This question seems fairly logical if you think about it as the two functions must intersect. How would you go about proving it?

. - April 28th 2010, 02:20 AMHallsofIvy
- April 28th 2010, 02:32 AMacevipa
- April 28th 2010, 03:09 AMDefunkt
What is the sign of h(a)? What is the sign of h(b)?

- April 28th 2010, 03:12 AMacevipa
- April 28th 2010, 04:46 AMacevipa
Would you say

- April 28th 2010, 06:50 AMDefunkt
Yep, that is exactly the intermediate value theorem: Intermediate value theorem - Wikipedia, the free encyclopedia

Note, though, that since you have a weak inequality, it is possible that ie. or .